Database
BASIC TOPOLOGY
Topology
Topological spaces
Topologies on sets
funtopon
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toponrestid
Metamath Proof Explorer
Ascii
Structured
Theorem
funtopon
Description:
The class
TopOn
is a function.
(Contributed by
BJ
, 29-Apr-2021)
Ref
Expression
Assertion
funtopon
⊢
Fun TopOn
Proof
Step
Hyp
Ref
Expression
1
df-topon
⊢
TopOn = (
𝑦
∈ V ↦ {
𝑥
∈ Top ∣
𝑦
=
∪
𝑥
} )
2
1
funmpt2
⊢
Fun TopOn